42571

Properties

Appears in sequences

• Second term of weak prime sextet: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=15A054829
• Numbers n such that the number formed by the digits of 2n sorted in ascending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in ascending order.at n=12A083387
• Upper twin primes of upper twin prime index.at n=27A088463
• Primes of the form 6^n-4^n+11.at n=6A104151
• a(n) = 1 + n*(n+1)*(n-1)/2.at n=44A158842
• a(1) = 1, a(2) = 5, for n >= 3, a(n) = smallest prime > a(n-1) such that a(n) mod a(n-1) = a(n-2).at n=6A175207
• Greater of twin primes p such that 3*p-2 is also greater of twin primes.at n=18A177336
• Numbers k such that the periodic part of the continued fraction of sqrt(k) has more ones than any smaller k.at n=42A206579
• Lesser of two consecutive primes, p < q, such that p*q + p - q and p*q - p + q are also consecutive primes.at n=21A225726
• Number of partitions p of n such that max(p) - 3*min(p) is a part of p.at n=48A238627
• Prime numbers p such that p - 2, p^2 - p - 1, p^2 - p + 1 are prime numbers.at n=14A274525
• Values of odd prime numbers, D, for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -2.at n=39A336790
• Values of odd prime numbers, D, for incrementally largest values of minimal positive y satisfying the equation x^2 - D*y^2 = -2.at n=38A336792
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 6.at n=26A341087
• a(n) = Sum_{k=0..floor((n-1)/4)} Stirling2(n,4*k+1).at n=10A365526
• Prime numbersat n=4452